Hello, Niaboc!

I'll set it up . . .

A pension fund manager decides to invest a total of at most $39 million

in Treasury Bonds paying 4% annual interest and in Mutual Funds paying 8% annual interest.

He plans to invest at least $5 million in Trasury Bonds and at least $10 million in Mutual Funds.

Treasury Bonds have an initial fee of $100 per million dollars, while the fee for Mutual Funds is $200 per million.

The fund manager is allowed to spend no more than $5000 on fees.

How much should be invested in each to maximize annual interest?

What is the maximum annual interest?

Let = amount invested in Treasury Bonds (in millions of dollars):

Let = amount invested in Mutual Funds (in millions of dollars): .

Total invested, $39 million: .

Invest at least $10 million in Mutual Funds: .

Invest at least $5 million in Treasure Bonds: .

Fee for Treasury Bonds:

Fee for Mutual Funds:

Maximum fee, $5000: .

Maximize interest: .